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Question

What are Barkhausen conditions for Oscillation?


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Solution

Barkhausen stability criteria:

  1. The Barkhausen stability criteria is a mathematical requirement used in electronics to predict whether a linear electronic circuit may oscillate.
  2. Heinrich Georg Barkhausen (1881-1956), a German scientist, proposed it in 1921.
  3. It is commonly utilized in the design of electronic oscillators as well as general negative feedback circuits such as op-amps to keep them from oscillating.

Barkhausen Conditions For Oscillation:

It asserts that if A is the gain of the amplifying element in the circuit and β() is the feedback path transfer function, so βA is the loop gain around the circuit's feedback loop, the circuit will maintain steady-state oscillations only at frequencies for which:

  1. The loop gain is equal to one in absolute magnitude, which means that βA=1
  2. The phase shift through the loop is either zero or an integer multiple of 2π: βA=2πn,n=0,1,2,

Barkhausen's criteria is a necessary but not sufficient condition for oscillation: certain circuits meet the requirement but do not oscillate.


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